Parameters long-range order parameter

A switch to double-angle vectors given by Eq. (2.3.12) not only significantly simplifies the treatment of orientation phase transitions in planar systems of nonpolar molecules but also leads to a number of substantial inferences on the transition nature. First of all note that the long-range-order parameter t] (vanishing in a disordered phase and equal to unity at T = 0) in a -dimensional space (specified by the orientations of long molecular axes) can be defined as ... 

The equilibrium value of the long-range order parameter, is obtained by the conditions... 

Show that the long-range order parameter for domain 1 is the negative of the long-range order parameter of domain 2. 

There is a long-range order parameter, s, defined as the fraction of A atoms, J a, occupying the correct sites minus the fraction occupying the wrong sites ... 

Long-range order parameter, s, decreases with temperature. 

Figure 14. Irradiation and disorder (left) long-range order parameter S as a function of the fluency for a disorder FePt (50 nm)-Pt (001) thin film (starting SKI) and particularly ordered one (starting S=0.4) and (right) Polar Kerr measurements of three irradiated CrPt3 areas with N+ ions with a fluency in the range 2xl015 -2xl016 ions/cm2.

Fig. 13-4 Variation of the long-range order parameter S with temperature, for AuCus and CuZn. (AuCua from Keating and Warren [13.2] CuZn data from Chipman and Warren [13.3]).

Magnetic properties of Pt, xCrx alloys. o77 is the magnetization at 77 K, and S the long-range order parameter (Goto 1977). 

Takahashi Y, Miyaji K (1983) Long-range order parameter of form II of poly(vinylidene fluoride) and molecular motion in the relaxation. Macromolecules, 76 1789... 

The assignment of the order of the herringbone transition was discussed in the literature over many years. The LEED results [92, 93] (see Fig. 26) were consistent with an interpretation in terms of a first-order transition with pronounced rounding elfects. However, these data could not mle out a continuous transition so that this study was not accurate enough to decide the order of the transition. In addition, there is the problem to relate the LEED superlattice spot intensities to the proper long-range order parameter of the system [93, 108] (see the presentation in Section III.D.l). 

The long-range order parameter t and the short-range order parameter [Pg.302]

Figure 5.8. Bulk ff) and surface long-range order parameters i o and the bulk (

It must be emphasized, however, that the treatment presented in Eqs. (68)-(80) is too restrictive since it considers a simple diffusive relaxation only such a treatment applies to solid binary mixtures ( model B in the Hohenberg-Halperin [144] classification), while in a fluid binary mixture it is necessary to include the long range order parameter fluctuations that are transmitted by velocity fluctuations [145]. The resulting model model H in the Hohenberg-Halperin classification leads to a renormalization of the Onsager coefficient A(q) due to mode-coupling effects [146]. Equation [77] remains valid but A(q) is replaced by... 

Mal] Neutron scattering Long range order parameter of FeCo as a function of added V... 

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